Mathematical models for thermionic emission current density of graphene emitter

Abstract

In this study, fve mathematical models were ftted in the absence of space charge with experimental data to fnd a more appropriate model and predict the emission current density of the graphene-based thermionic energy converter accurately. Modifed Richardson Dushman model (MRDE) shows that TEC’s electron emission depends on temperature, Fermi energy, work function, and coefcient of thermal expansion. Lowest Least square value of S = Jth − Jexp2 = 0.0002 A2/m4 makes MRDE most suitable in modelling the emission current density of the graphene-based TEC over the other four tested models. The developed MRDE can be adopted in predicting the current emission density of two dimensional materials and also future graphene-based TEC response